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Question
Write in the expanded form:
`(m + 2n - 5p)^2`
Solution
We have
`(m + 2n - 5p)^2 = m^2 + (2n)^2 + (-5p)^2 + 2(m)(2n) + 2(2n)(-5p) + 2(m)(-5p)`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
` = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10pm`
`∴ (m + n - 5p)^2 = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10 "pm"`
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